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Physics Examples

P = \frac{W}{t}

$P = \frac{W}{t}$

$P$ $P$	$=$ $=$	$2 \cdot 10^{3} W$ $2 \cdot 10^{3} W$
$W$ $W$	$=$ $=$	$?$ $?$
$t$ $t$	$=$ $=$	$12 s$ $12 s$

Step 1

Solve for

W

$W$ .

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Step 1.1

Rewrite the equation as

\frac{W}{t} = P

$\frac{W}{t} = P$ .

\frac{W}{t} = P

$\frac{W}{t} = P$

Step 1.2

Multiply both sides by

t

$t$ .

\frac{W}{t} t = P t

$\frac{W}{t} t = P t$

Step 1.3

Simplify the left side.

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Step 1.3.1

Cancel the common factor of

t

$t$ .

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Step 1.3.1.1

Cancel the common factor.

$\frac{W}{t} t = P t$

Step 1.3.1.2

Rewrite the expression.

$W = P t$

$W = P t$

$W = P t$

$W = P t$

Step 2

Substitute the given values into

$W = P t$ .

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Step 2.1

Substitute

$2 \cdot 10^{3} W$ for

$P$ .

$W = 2 \cdot 10^{3} W t$

Step 2.2

Substitute

$12 s$ for

$t$ .

$W = 2 \cdot 10^{3} W (12 s)$

$W = 2.00 \cdot 10^{3} W (12.0 s)$

Step 3

Simplify the right side.

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Step 3.1

Multiply

$12.0$ by

$2.00$ .

$W = 24.000 \cdot 10^{3} W s$

Step 3.2

Move the decimal point in

$24.000$ to the left by

$1$ place and increase the power of

$10^{3}$ by

$1$ .

$W = 2.4000 \cdot 10^{4} (W s)$

Step 3.3

Rewrite

$W s$ as

$J$ .

$W = 2.4000 \cdot 10^{4} J$

Step 3.4

Convert

$2.4000 \cdot 10^{4}$ to decimal.

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Step 3.4.1

Raise

$10$ to the power of

$4$ .

$W = 2.4000 \cdot 10000 J$

Step 3.4.2

Multiply

$2.4000$ by

$10000$ .

$W = 24000.0000 J$

$W = 24000.0000 J$

$W = 24000.0000 J$

Step 4

Round to

$3$ significant figures.

$W = 2.40 \cdot 10^{4} J$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$